Similar Figures- Two figures are similar if and only if one is congruent to the image of the other by dialation. Polygon Similarity Postulate
Two polygons are similar if and only if there is a way of setting up a correspondence between their sides and angles
such that the following conditions are met:
Each pair of corresponding angles is congruent.
Each pair of corresponding sides is proportional.
Perimeters of similar polygons: If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their cossesponding side lenghts.
Corresponding Lengths in Similar Polygons: If two polygons are similar, then the ratio of any two corresponding lenths in the polygons is equal to the scale factor of the similar polygons.
"Add one" property of proportions- for real numbers a,b,c, and d such that b and d don't equal 0. if a/b=c/d then (a+b)/b = (c+d)/d
exchange property of proportions- for real numbers A,B,C and Dsuch that A,B,C and D = 0 if a/b = c/d then a/c = b/d
reciprocal property of proportions- for real numbers A,B,C and Dsuch that A,B,C and D = 0 if a/b = c/d then b/a = d/c
Similar polygons: all angles are congruent and side lengths are proportional
Scale factor of two similar polygons: k- number multiplied by
Polygon Similarity Postulate
Two polygons are similar if and only if there is a way of setting up a correspondence between their sides and angles
such that the following conditions are met:
Perimeters of similar polygons: If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their cossesponding side lenghts.
Corresponding Lengths in Similar Polygons: If two polygons are similar, then the ratio of any two corresponding lenths in the polygons is equal to the scale factor of the similar polygons.
"Add one" property of proportions- for real numbers a,b,c, and d such that b and d don't equal 0. if a/b=c/d then (a+b)/b = (c+d)/d
exchange property of proportions- for real numbers A,B,C and Dsuch that A,B,C and D = 0 if a/b = c/d then a/c = b/d
reciprocal property of proportions- for real numbers A,B,C and Dsuch that A,B,C and D = 0 if a/b = c/d then b/a = d/c
Similar polygons: all angles are congruent and side lengths are proportional
Scale factor of two similar polygons: k- number multiplied by